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JOURNALS // Nanosystems: Physics, Chemistry, Mathematics // Archive

Nanosystems: Physics, Chemistry, Mathematics, 2021 Volume 12, Issue 4, Pages 425–429 (Mi nano1036)

MATHEMATICS

Dirac operator with different potentials on edges of quantum graph: resonance asymptotics

A. G. Belolipetskaia, I. Yu. Popov

ITMO University, Kronverkskiy, 49, Saint Petersburg, 197101, Russia

Abstract: Asymptotics of resonances for the Dirac operator with different potentials on edges of a quantum graph with the Kirchhoff coupling conditions at vertices is studied. The results are obtained for a quantum graph that consists of a compact interior and a finite number of exterior edges of infinite length connected to the interior.

Keywords: quantum graph, Dirac operator, asymptotics, resonance.

Received: 18.07.2018

Language: English

DOI: 10.17586/2220-8054-2021-12-4-425-429



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© Steklov Math. Inst. of RAS, 2024